EduSahara™ Assignment
Name : Polynomial Concepts
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question 1
1.
Which of the following are polynomials?
a)
    • x
      +
      1

      x
b)
    • (
      x
      +
      y
      )
c)
    • x
      2
       
      +
      1

      x
      2
       
d)
    • x
      2
       
e)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
  • (i)
    {b,d}
  • (ii)
    {a,b}
  • (iii)
    {e,a,b}
  • (iv)
    {c,d}
  • (v)
    {c,d,b}
Question 2
2.
Which of the following are not polynomials?
a)
    • (
      4
      x
      +
      12
      y
      )
b)
    • 64
      x
      2
       
c)
    • (
      4
      x
      +
      12
      y
      )

      (
      4
      x
      10
      y
      )
d)
    • (
      16
      x
      2
       
      +
      8
      x
      y
      120
      y
      2
       
      )
e)
    • x
      +
      1

      x
  • (i)
    {d,a,c}
  • (ii)
    {a,c}
  • (iii)
    {b,e,c}
  • (iv)
    {b,e}
  • (v)
    {c,e}
Question 3
3.
Which of the following are not polynomials?
a)
    • (
      9
      x
      7
      y
      )
b)
    • (
      2
      x
      +
      2
      y
      )
c)
    • 64
      x
      2
       
d)
    • √x
e)
    • 64
      x
      2
       
      +
      1

      64
      x
      2
       
  • (i)
    {c,a,d}
  • (ii)
    {b,e}
  • (iii)
    {a,d}
  • (iv)
    {d,e}
  • (v)
    {b,e,d}
Question 4
4.
Which of the following are not polynomials?
a)
    • (
      10
      x
      +
      2
      y
      )

      (
      9
      x
      9
      y
      )
b)
    • (
      9
      x
      9
      y
      )
c)
    • (
      90
      x
      2
       
      72
      x
      y
      18
      y
      2
       
      )
d)
    • 64
      x
      2
       
e)
    • √x
  • (i)
    {b,a}
  • (ii)
    {c,e}
  • (iii)
    {d,b,a}
  • (iv)
    {a,e}
  • (v)
    {c,e,a}
Question 5
5.
    • The degree of the polynomial
    • (
      5
      c
      5
      )
    • is
  • (i)
    0
  • (ii)
    1
  • (iii)
    2
  • (iv)
    (-1)
  • (v)
    4
Question 6
6.
    • The degree of the polynomial
    • (
      2
      u
      2
       
      +
      u
      +
      2
      )
    • is
  • (i)
    3
  • (ii)
    4
  • (iii)
    2
  • (iv)
    0
  • (v)
    1
Question 7
7.
    • The degree of the polynomial
    • (
      5
      t
      3
       
      4
      t
      2
       
      2
      t
      )
    • is
  • (i)
    0
  • (ii)
    5
  • (iii)
    3
  • (iv)
    4
  • (v)
    2
Question 8
8.
    • The degree of the polynomial
    • (
      7
      z
      5
       
      7
      z
      4
       
      3
      z
      3
       
      +
      6
      z
      4
      )
    • is
  • (i)
    5
  • (ii)
    6
  • (iii)
    4
  • (iv)
    2
  • (v)
    8
Question 9
9.
    • The coefficient of term
    • f
    • in polynomial
    • (
      3
      f
      +
      4
      )
    • is
  • (i)
    2
  • (ii)
    4
  • (iii)
    3
  • (iv)
    5
  • (v)
    1
Question 10
10.
    • The coefficient of term
    • r
      2
       
    • in polynomial
    • (
      9
      r
      2
       
      +
      7
      r
      +
      5
      )
    • is
  • (i)
    10
  • (ii)
    8
  • (iii)
    6
  • (iv)
    9
  • (v)
    12
Question 11
11.
    • The coefficient of term
    • e
      2
       
    • in polynomial
    • (
      5
      e
      3
       
      3
      e
      2
       
      e
      +
      7
      )
    • is
  • (i)
    -1
  • (ii)
    -2
  • (iii)
    -3
  • (iv)
    -4
  • (v)
    -5
Question 12
12.
    • The coefficient of term
    • m
      4
       
    • in polynomial
    • (
      8
      m
      4
       
      2
      m
      3
       
      +
      9
      m
      2
       
      6
      m
      2
      )
    • is
  • (i)
    9
  • (ii)
    8
  • (iii)
    10
  • (iv)
    6
  • (v)
    7
Question 13
13.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    2
    m
    4
     
    +
    8
    m
    +
    8
    )
  • (ii)
    (
    9
    m
    4
     
    +
    6
    m
    3
     
    +
    2
    m
    2
     
    +
    5
    m
    +
    8
    )
  • (iii)
    (
    4
    m
    4
     
    6
    m
    2
     
    )
  • (iv)
    (
    7
    m
    4
     
    )
  • (v)
    (
    5
    m
    4
     
    +
    7
    m
    3
     
    9
    m
    2
     
    9
    m
    5
    )
Question 14
14.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    3
    v
    4
     
    5
    v
    3
     
    +
    v
    2
     
    +
    7
    v
    +
    8
    )
  • (ii)
    3
    v
    2
     
  • (iii)
    (
    v
    3
     
    +
    2
    v
    +
    9
    )
  • (iv)
    (
    6
    v
    4
     
    +
    3
    v
    3
     
    +
    2
    v
    2
     
    +
    5
    v
    3
    )
  • (v)
    (
    2
    v
    3
     
    +
    9
    v
    )
Question 15
15.
Which of the following algebraic expressions is a trinomial?
  • (i)
    8
    s
    3
     
  • (ii)
    (
    3
    s
    4
     
    8
    s
    3
     
    5
    s
    2
     
    +
    3
    s
    +
    7
    )
  • (iii)
    (
    4
    s
    2
     
    1
    )
  • (iv)
    (
    s
    3
     
    5
    s
    +
    5
    )
  • (v)
    (
    7
    s
    4
     
    3
    s
    3
     
    +
    4
    s
    2
     
    +
    s
    1
    )
Question 16
16.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    3
    s
    4
     
    +
    6
    s
    3
     
    +
    6
    s
    2
     
    s
    4
    )
  • (ii)
    s
    2
     
  • (iii)
    (
    9
    s
    2
     
    +
    5
    s
    )
  • (iv)
    (
    5
    s
    2
     
    +
    2
    s
    2
    )
  • (v)
    (
    9
    )
Question 17
17.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    3
    a
    3
     
    +
    8
    a
    2
     
    )
  • (ii)
    0
  • (iii)
    (
    8
    a
    4
     
    a
    3
     
    +
    2
    a
    2
     
    )
  • (iv)
    (
    4
    a
    4
     
    +
    2
    a
    3
     
    +
    4
    a
    2
     
    6
    a
    4
    )
  • (v)
    6
    a
    4
     
Question 18
18.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    5
    m
    6
    )
  • (ii)
    9
  • (iii)
    (
    2
    m
    3
     
    m
    2
     
    +
    3
    m
    1
    )
  • (iv)
    (
    m
    2
     
    +
    4
    m
    +
    4
    )
  • (v)
    (
    6
    m
    4
     
    +
    2
    m
    3
     
    2
    m
    2
     
    7
    m
    +
    7
    )
Question 19
19.
Which of the following algebraic expressions is a linear polynomial?
  • (i)
    (
    9
    b
    2
     
    2
    b
    +
    6
    )
  • (ii)
    (
    9
    b
    3
     
    8
    b
    2
     
    +
    b
    +
    8
    )
  • (iii)
    (
    7
    b
    6
    )
  • (iv)
    (
    3
    b
    5
     
    +
    4
    b
    3
     
    +
    4
    b
    2
     
    2
    b
    +
    5
    )
  • (v)
    (
    9
    )
Question 20
20.
Which of the following algebraic expressions is a quadratic polynomial?
  • (i)
    (
    7
    v
    2
     
    +
    4
    v
    9
    )
  • (ii)
    (
    7
    v
    5
     
    +
    7
    v
    4
     
    +
    5
    v
    3
     
    +
    3
    v
    2
     
    +
    4
    )
  • (iii)
    (
    9
    v
    3
     
    +
    4
    v
    2
     
    8
    v
    3
    )
  • (iv)
    (
    1
    )
  • (v)
    (
    3
    v
    4
    )
Question 21
21.
Which of the following algebraic expressions is a cubic polynomial?
  • (i)
    (
    6
    m
    5
     
    +
    6
    m
    3
     
    6
    m
    2
     
    m
    6
    )
  • (ii)
    (
    9
    m
    2
     
    +
    3
    m
    +
    4
    )
  • (iii)
    (
    6
    m
    3
     
    3
    m
    2
     
    7
    m
    +
    7
    )
  • (iv)
    (
    2
    m
    3
    )
  • (v)
    (
    7
    )
Question 22
22.
    • The degree of polynomial
    • (
      5
      h
      i
      +
      7
      h
      +
      i
      16
      )
    • is
  • (i)
    (-1)
  • (ii)
    3
  • (iii)
    2
  • (iv)
    1
  • (v)
    4
Question 23
23.
    • The degree of polynomial
    • (
      5
      s
      2
       
      t
      2
       
      +
      8
      s
      2
       
      t
      +
      8
      s
      t
      2
       
      +
      5
      t
      2
       
      )
    • is
  • (i)
    5
  • (ii)
    4
  • (iii)
    3
  • (iv)
    6
  • (v)
    1
Question 24
24.
    • The degree of polynomial
    • (
      5
      a
      2
       
      b
      2
       
      c
      4
      a
      b
      +
      4
      a
      +
      9
      b
      2
       
      c
      +
      6
      c
      2
       
      )
    • is
  • (i)
    4
  • (ii)
    8
  • (iii)
    6
  • (iv)
    3
  • (v)
    5
Question 25
25.
    • The degree of polynomial
    • (
      8
      c
      3
       
      d
      3
       
      e
      2
       
      5
      c
      3
       
      d
      2
       
      e
      3
       
      5
      c
      3
       
      d
      2
       
      +
      2
      c
      2
       
      d
      3
       
      e
      2
       
      +
      5
      c
      d
      3
       
      +
      5
      d
      2
       
      e
      +
      6
      d
      )
    • is
  • (i)
    9
  • (ii)
    8
  • (iii)
    5
  • (iv)
    10
  • (v)
    7
Question 26
26.
    • The constant term in polynomial
    • (
      6
      h
      i
      4
      h
      +
      6
      i
      +
      8
      )
    • is
  • (i)
    8
  • (ii)
    10
  • (iii)
    6
  • (iv)
    9
  • (v)
    7
Question 27
27.
    • The coefficient of term
    • q
      r
      2
       
    • in polynomial
    • (
      4
      q
      2
       
      r
      2
       
      2
      q
      r
      2
       
      r
      +
      8
      )
    • is
  • (i)
    -1
  • (ii)
    1
  • (iii)
    -2
  • (iv)
    -4
  • (v)
    -3
Question 28
28.
    • The coefficient of term
    • n
      2
       
      o
      2
       
    • in polynomial
    • (
      4
      n
      2
       
      o
      2
       
      p
      +
      6
      n
      2
       
      o
      2
       
      +
      4
      n
      2
       
      o
      p
      2
       
      +
      n
      o
      2
       
      p
      2
       
      +
      2
      n
      )
    • is
  • (i)
    9
  • (ii)
    7
  • (iii)
    6
  • (iv)
    5
  • (v)
    3
Question 29
29.
    • The coefficient of term
    • g
    • in polynomial
    • (
      4
      g
      3
       
      h
      i
      2
       
      +
      6
      g
      2
       
      h
      +
      4
      g
      2
       
      i
      2
       
      +
      8
      g
      h
      6
      g
      5
      h
      3
       
      i
      +
      5
      )
    • is
  • (i)
    -4
  • (ii)
    -6
  • (iii)
    -8
  • (iv)
    -5
  • (v)
    -7
Question 30
30.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    h
    i
    3
     
    j
    3
     
    5
    h
    i
    3
     
    j
    +
    i
    2
     
    j
    2
     
    )
  • (ii)
    (
    7
    h
    3
     
    i
    8
    h
    2
     
    i
    j
    2
     
    9
    h
    j
    i
    )
  • (iii)
    7
    h
    i
    2
     
    j
    2
     
  • (iv)
    (
    7
    h
    3
     
    i
    3
     
    j
    2
     
    +
    5
    h
    3
     
    i
    2
     
    j
    3
     
    +
    2
    h
    3
     
    j
    2
     
    +
    3
    h
    i
    3
     
    j
    2
     
    )
  • (v)
    (
    3
    h
    i
    2
     
    j
    3
     
    3
    i
    3
     
    )
Question 31
31.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    7
    e
    f
    2
     
    e
    g
    3
     
    8
    f
    3
     
    +
    3
    f
    )
  • (ii)
    (
    8
    e
    2
     
    f
    3
     
    g
    3
     
    9
    e
    f
    2
     
    2
    f
    2
     
    )
  • (iii)
    (
    5
    e
    3
     
    f
    g
    2
     
    +
    9
    f
    2
     
    g
    2
     
    )
  • (iv)
    (
    9
    e
    f
    2
     
    g
    +
    e
    f
    2
     
    +
    9
    e
    g
    2
     
    2
    f
    g
    3
     
    )
  • (v)
    6
    e
    2
     
    f
    g
Question 32
32.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    3
    v
    3
     
    w
    3
     
    x
    3
     
    6
    v
    w
    3
     
    x
    2
     
    )
  • (ii)
    (
    3
    v
    3
     
    w
    2
     
    x
    3
     
    )
  • (iii)
    (
    8
    v
    2
     
    w
    3
     
    x
    2
     
    5
    v
    x
    2
     
    +
    3
    w
    3
     
    )
  • (iv)
    (
    4
    v
    2
     
    w
    +
    v
    w
    2
     
    x
    2
     
    +
    3
    v
    w
    x
    2
     
    +
    7
    v
    x
    3
     
    )
  • (v)
    (
    v
    3
     
    +
    5
    v
    2
     
    w
    2
     
    x
    3
     
    v
    2
     
    w
    +
    3
    v
    w
    2
     
    )
Question 33
33.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    8
    g
    h
    2
     
    i
    9
    h
    3
     
    +
    8
    h
    )
  • (ii)
    (
    3
    g
    2
     
    h
    2
     
    i
    3
     
    8
    g
    i
    )
  • (iii)
    (
    9
    g
    3
     
    h
    4
    g
    h
    2
     
    g
    h
    +
    9
    h
    )
  • (iv)
    (
    8
    )
  • (v)
    7
    g
    h
    i
    2
     
Question 34
34.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    2
    q
    3
     
    r
    3
     
    s
  • (ii)
    (
    q
    2
     
    r
    s
    2
     
    6
    q
    r
    2
     
    2
    )
  • (iii)
    0
  • (iv)
    (
    9
    q
    2
     
    s
    2
     
    8
    q
    2
     
    2
    q
    r
    2
     
    s
    3
     
    +
    6
    r
    s
    3
     
    )
  • (v)
    (
    2
    q
    2
     
    s
    3
     
    +
    8
    r
    s
    2
     
    )
    Assignment Key

  •  1) (i)
  •  2) (v)
  •  3) (iv)
  •  4) (iv)
  •  5) (ii)
  •  6) (iii)
  •  7) (iii)
  •  8) (i)
  •  9) (iii)
  •  10) (iv)
  •  11) (iii)
  •  12) (ii)
  •  13) (iv)
  •  14) (v)
  •  15) (iv)
  •  16) (v)
  •  17) (ii)
  •  18) (ii)
  •  19) (iii)
  •  20) (i)
  •  21) (iii)
  •  22) (iii)
  •  23) (ii)
  •  24) (v)
  •  25) (ii)
  •  26) (i)
  •  27) (iii)
  •  28) (iii)
  •  29) (ii)
  •  30) (iii)
  •  31) (iii)
  •  32) (iii)
  •  33) (iv)
  •  34) (iii)